On interpolative Hardy-Rogers type cyclic contractions

Mohamed Edraoui

https://orcid.org/0000-0002-3324-2546

Morocco

University of Hassan II Casablanca image/svg+xml

Laboratory of Analysis, Modeling, and Simulation, Department of Mathematics and Computer Sciences, Ben M’Sik Faculty of Sciences

Amine El koufi

https://orcid.org/0000-0001-6566-8181

Morocco

Université Ibn-Tofail image/svg+xml

High School of Technology ; Lab of PDE’s, Algebra and spectral geometry, Faculty of Sciences

Mohamed Aamri

https://orcid.org/0000-0001-6801-6672

Morocco

University of Hassan II Casablanca image/svg+xml

Laboratory of Algebra, Analysis and Applications, Department of Mathematics and Computer Sciences, Ben M’Sik Faculty of Sciences

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Accepted: 2023-10-19

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Published: 2024-04-02

DOI: https://doi.org/10.4995/agt.2024.19885
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Keywords:

Hardy-Rogers, interpolation, fixed point, metric space

Supporting agencies:

This research was not funded

Abstract:

Recently, Karapınar introduced a new Hardy-Rogers type contractive mapping using the concept of interpolation and proved a fixed point theorem in complete metric space. This new type of mapping, called "interpolative Hardy-Rogers type contractive mapping" is a generalization of Hardy-Rogers's fixed point theorem. Following this direction of research, in this paper, we will present some fixed point results of Hardy-Rogers-type for cyclic mappings on complete metric spaces. Moreover, an example is given to illustrate the usability of the obtained results.

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